Given a cyclic quadrilateral with side lengths , , , , the area can be found as:
where is the semiperimeter of the quadrilateral.
Bretschneider's formula gives a formula for the area of a non-cyclic quadrilateral given only the side lengths; applying Ptolemy's Theorem to Bretschneider's formula reduces it to Brahmagupta's formula.
Brahmagupta's formula reduces to Heron's formula by setting the side length . This article is a stub. Help us out by .